An ellipsoid is given by the equation 4x² + 4y²+z² = 16; (i) Sketch the three-dimensional (3D) graph of an ellipsoid and its projection on a suitable plane. (ii) Find the volume of the ellipsoid using triple integrals by changing it to the cylindrical coordinate system.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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(c) An ellipsoid is given by the equation 4x² + 4y²+z² = 16;
%3D
(i) Sketch the three-dimensional (3D) graph of an ellipsoid and its projection on a
suitable plane.
(ii) Find the volume of the ellipsoid using triple integrals by changing it to the
cylindrical coordinate system.
Transcribed Image Text:(c) An ellipsoid is given by the equation 4x² + 4y²+z² = 16; %3D (i) Sketch the three-dimensional (3D) graph of an ellipsoid and its projection on a suitable plane. (ii) Find the volume of the ellipsoid using triple integrals by changing it to the cylindrical coordinate system.
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